Probing superfluidity of a mesoscopic Tonks-Girardeau gas

Schenke, C.; Minguzzi, Anna; Hekking, F. W. J.

doi:10.1103/physreva.85.053627

Cited by 13 publications

(21 citation statements)

References 31 publications

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“…In the absence of barrier, b=0 (figure 2(a)), the eigenstates of H are plane waves with quantised angular momentum in units of integer multiples of 2p and manifolds of fixed angular momentum are uncoupled due to the existence of rotational symmetry. However, when b 0 > (figure 2(b)) this symmetry is broken and transitions between different manifolds become possible [12], resulting in the avoided crossings visible in the energy spectrum. By adiabatically accelerating the barrier from 0 W = to π, a particle initially in an eigenstate of H will enter a superposition state of two angular momentum eigenstates, and in the TG limit, where the strongly correlated many-particle wavefunction can be directly calculated from the single particles ones, this will create a macroscopic NOON state between different values of angular momentum [3].…”

Section: Creating a Noon State On A Ringmentioning

confidence: 99%

“…complemented by the single auxiliary equation (12). This means that as long as the conditions (12) and (15)…”

Section: Lewis-riesenfeld Invariantsmentioning

confidence: 99%

“…-, which, when inserted into equation (12), allows us to numerically find a solution for t ( ) w . This solution leads to the necessary squeezing or expansion of the particle wavefunction with perfect fidelity in an arbitrarily short time t t f 0 -, although in practice a shorter squeezing time involves a faster Figure 7.…”

Section: Lewis-riesenfeld Invariantsmentioning

confidence: 99%

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Non-adiabatic generation of NOON states in a Tonks–Girardeau gas

et al. 2016

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Adiabatic techniques can be used to control quantum states with high fidelity while exercising limited control over the parameters of a system. However, because these techniques are slow compared to other timescales in the system, they are usually not suitable for creating highly unstable states or performing time-critical processes. Both of these situations arise in quantum information processing, where entangled states may be isolated from the environment only for a short time and where quantum computers require high-fidelity operations to be performed quickly. Recently it has been shown that techniques like optimal control and shortcuts to adiabaticity can be used to prepare quantum states non-adiabatically with high fidelity. Here we present two examples of how these techniques can be used to create maximally entangled many-body NOON states in one-dimensional Tonks-Girardeau gases.

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Section: Creating a Noon State On A Ringmentioning

confidence: 99%

“…complemented by the single auxiliary equation (12). This means that as long as the conditions (12) and (15)…”

Section: Lewis-riesenfeld Invariantsmentioning

confidence: 99%

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Non-adiabatic generation of NOON states in a Tonks–Girardeau gas

et al. 2016

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“…Very recently the nonadiabatic creation of large angular momentum superpositions in the same system was suggested in Ref. [27].…”

Section: Introductionmentioning

confidence: 97%

Engineering mesoscopic superpositions of superfluid flow

Hallwood

Brand

2011

Phys. Rev. A

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Modeling strongly correlated atoms demonstrates the possibility to prepare quantum superpositions that are robust against experimental imperfections and temperature. Such superpositions of vortex states are formed by adiabatic manipulation of interacting ultracold atoms confined to a one-dimensional ring trapping potential when stirred by a barrier. Here, we discuss the influence of non-ideal experimental procedures and finite temperature. Adiabaticity conditions for changing the stirring rate reveal that superpositions of many atoms are most easily accessed in the strongly-interacting, Tonks-Girardeau, regime, which is also the most robust at finite temperature. NOON-type superpositions of weakly interacting atoms are most easily created by adiabatically decreasing the interaction strength by means of a Feshbach resonance. The quantum dynamics of small numbers of particles is simulated and the size of the superpositions is calculated based on their ability to make precision measurements. Experimental creation of strongly correlated and NOON-type superpositions with about 100 atoms seems feasible in the near future.Comment: 10 pages, 6 figure

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“…There have been speculations that up to 6 α chain states may exist [156]. One should be aware of the fact that one dimensional Bose condensates do not exist and that, when the bosons are not interpenetrable (hard core bosons), a so-called Tonks-Girardeau boson gas forms where the bosons act like fermions because they cannot be at the same spacial point (as spinless fermions) [157,158]. Since our α particles can practically not penetrate one another, it would be interesting to investigate how much linear α chain states resemble a Tonks-Girardeau Bose gas.…”

Section: Outlook and Conclusionmentioning

confidence: 99%

Alpha particle clusters and their condensation in nuclear systems

et al. 2016

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In this article we review the present status of α clustering in nuclear systems. An important aspect is first of all condensation in nuclear matter. Like for pairing, quartetting in matter is at the root of similar phenomena in finite nuclei. Cluster approaches for finite nuclei are shortly recapitulated in historical order. The α container model as recently been proposed by Tohsaki-Horiuchi-Schuck-Röpke (THSR) will be outlined and the ensuing condensate aspect of the Hoyle state at 7.65 MeV in 12 C investigated in some detail. A special case will be made with respect to the very accurate reproduction of the inelastic form factor from the ground to Hoyle state with the THSR description. The extended volume will be deduced. New developments concerning excitations of the Hoyle state will be discussed. After 15 years since the proposal of the α condensation concept a critical assessment of this idea will be given. Alpha gas states in other nuclei like 16 O and 13 C will be considered. An important aspect are experimental evidences, present and future ones.The THSR wave function can also describe configurations of one α particle on top of a doubly magic core. The cases of 20 Ne and 212 Po will be investigated.

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Probing superfluidity of a mesoscopic Tonks-Girardeau gas

Cited by 13 publications

References 31 publications

Non-adiabatic generation of NOON states in a Tonks–Girardeau gas

Non-adiabatic generation of NOON states in a Tonks–Girardeau gas

Engineering mesoscopic superpositions of superfluid flow

Alpha particle clusters and their condensation in nuclear systems

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